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\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________
14. (a) Yes, for example 30° + 15° = 45° (an acute angle)
(b) Yes, for example 45° + 45° = 90° (a right angle) 1st/2nd
(c) Yes, for example 50° + 50° = 100° (an obtuse angle) 6. 3rd 4th 5th 6th 7th
(d) No, 90° + 90° = 180°, if one angle is less than 90° (acute angle), then the 0
other must be greater than 90° (obtuse angle) to get the sum 180°. 23 34 50 100 106 150 163 174 176
(e) No, sum of two acute angles is always less than 180°. Quick Check
15. (a) Yes, for example, 120° + 120° = 240° (a reflex angle) 1.
(b) No, 180° + 180° = 360°, if one angle is less than 180° (an obtuse
angle) then the other one must be greater than 180° to get the sum 15,077 15,078 15,079 15,080 15,081 15,082 15,083 15,084 15,085 15,086
360°.
Practice Time 2G
3. (a) A, V, W, Z (b) K, Y (c) I 83,705 84,705 85,705 86,705 87,705 88,705 89,705 90,705 91,705 92,705
Mental Maths
1. No 2. 10; AB , BC , CD , DE , AC , AD, AE, BD, BE, CE
3. False 4. Never 5. A 6. 45° 5050 5180 5410 5754 5890 5950
7. Infinitely many 8. Right angle 2. (a)
Chapter Assessment 5000 5030 5100 5200 5300 5400 5500 5600 5700 5800 5900 6000
A. 1. (a) 2. (b) 3. (d) 4. (c) 5. (a)
6. (d) 7. (d) 8. (b) 9. (b) 10. (b)
B. 1. (d) 2. (a) 3. (d) 12,180 12,240 12,310 12,590 12,650
C. 1. One 2. definite 3. parallel 4. acute 5. two (b)
6. reflex 7. 90°
D. 1. True 2. False 3. False 4. False 5. True 12,000 12,050 12,100 12,200 12,300 12,400 12,500 12,600 12,700 12,800 12,900
6. False
E. 1. (b) 2. (a) 3. (c) 4. (a), (c) 5. (b) Quick Check
F. 1. 5 2. 65°, 32.5° 3. 6 Area of Meghalaya (22, 429 sq km) > Area of Manipur (22, 327 sq. km)
7. (a) ∠AEB, ∠DEC, ∠BAE, ∠EDC (b) ∠AED, ∠BEC Think and Answer
A D
1. 4352 4452 3500 3683 3452 3600 6300 6071 1200 1251
E
(c) (Answer may vary)
2. Yes, the cell having the largest number in a table always be a super
cell and the cell having the smallest number in a table will never be a
B C supercell, since its adjacent number is bigger.
8. (a) 6 (b) 15° (c) 24 (d) 7
Maths Connect
Unit Test – 1 1. The largest planet is Jupiter whose diameter is 88,846 miles and the
A. 1. (d) 2. (c) 3. (b) 4. (c) 5. (c) smallest planet is Mercury whose diameter is 3,032 miles.
6. (a) 7. (d) 8. (c) 9. (c) 10. (a) 2. Mercury – 3032 miles; Mars – 4221 miles; Venus – 7521 miles;
B. 1. 343 2. 90° 3. two 4. Pentagonal Earth – 7926 miles; Neptune – 30775 miles; Uranus – 31763 miles;
5. Virahanka Saturn – 74898 miles; Jupiter – 88846 miles
C. 1. T 2. F 3. T 4. F 5. F Supercells
D. 1. ∠A = 144°, ∠B = 36° 2. (a) 27, 45 (b) 36, 27
3. 3 right angles 3. 3032 7521 7926 4221 88846 74898 31763 30775
4. (a) (b)
Subcells
115° Practice Time 3A
85° 1. 200 577 626 345 694 109 198
5. 1 + 3 + 5 + 7 + 9 = 25 = 5 × 5
1+ 3 + 5 + 7 + 9 + 11 = 36 = 6 × 6 2. 6828 670 9435 3780 3708 7308 8000 5583 52
B 3. 43 76 67 28 69 109 18
4. 11 12 13 14 15 16 17 18 19 20
6. 1 7. 50 ; 65
Here, only 1 supercell (Blue) and 1 subcell (Red) is possible.
2 A (Answer may vary)
8. (a) ∠PQR (b) ∠MQR and ∠PQN (c) ∠NQM 5. 40,007 77,400 70,400 40,700
Chapter 3: Number Play 47,700 40,070 47,000 74,000
Let’s Recall 74,400 74,004 70,740 70,004
1. Expanded form of 27859 = 20000 + 7000 + 800 + 50 + 9 47,070 47,770 70,744 40,777
2. Five numbers that can be estimated to 5,30,000 is 5,30,003; 5,29,999;
5,30,456; 5,29,896; 5,29,870 (Answer may vary) 6. 12 11 13 14 15 16 17 18 19 20
3. 93 runs
4. Total number of balls in 20 overs in an inning = 120. Second smallest number Second largest number
5. Yes, the number reads the same forward and backward. 3 other such (a supercell) (not a subcell)
numbers are 11, 121, 99. 7. No
311 Answers

